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Finding the Fourth Proportional to 526.23, 725.90 and 360.59

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Solution

The fourth proportional to 526.23, 725.90 and 360.59 is: 497.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.23 : 725.90 = 360.59 : x
  2. Step 2: Convert to fraction form
    526.23/725.90 = 360.59/x
  3. Step 3: Cross multiply
    526.23x = 725.90 × 360.59
  4. Step 4: Simplify right side
    526.23x = 261,746.85
  5. Step 5: Solve for x
    x = 261,746.85/526.23
  6. Step 6: Final answer
    x = 497.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.